AnswersPARTA - EOP PGCPS ALGEBRA 1 CR FALL2026 - 793023Line of Best Fit

Line of Best Fit — Cumulative exam Answers

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1
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Analyze the diagram below and answer the question that follows. Can you prove ? Justify your answer.

Question illustration
A
Yes, the triangles are congruent by SAS.
B
Yes, the triangles are congruent by SSS.
C
Yes, the triangles are congruent by SSA.
D
No, not enough information is given.
2
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If bisects , and , prove . Statements Reasons 1. 1. 2. 2. 3. 3. 4. 4.

Question illustration
A
1) Given 2) Reflexive property of 3) Definition of an angle bisector 4) SAS
B
1) Given 2) Reflexive property of 3) Definition of an angle bisector 4) SSA
C
1) Reflexive property of 2) Given 3) Definition of an angle bisector 4) ASA
D
There is not enough information to prove the triangles congruent.
3

Analyze the diagram below and answer the question that follows. Given that is the perpendicular bisector of and that bisects , which of the following statements is false? A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
4

Analyze the diagram below and answer the question that follows. . Which statement is true? A. B. C. D. Please select the best answer from the choices provided

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A
A
B
B
C
C
D
D
5

A line contains the points (–2, –6) and (4, 1). Using point-slope form, write the equation of the line that is perpendicular to the given line and that passes through the point (4, 1). A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
6

Analyze the diagram below and complete the instructions that follow. Given that B is the midpoint of , is the perpendicular bisector of , bisects , and , find and the length of .

Question illustration
A
and BF = 5.9
B
and BF = 59
C
and BF = 5.9
D
and BF = 590
7

Analyze the diagram below and answer the question that follows.The graph illustrates a reflection of . What is the line of reflection? A. x-axis B. y-axis C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
8

Analyze the diagram below and answer the question that follows.Given that , , and , which of the following congruence statements is correct? A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

A satellite view of a hurricane is placed on a coordinate plane. The outside edges of the hurricane are located at (4, 6) and (11, 6). Determine the width and the center of the hurricane.

A
width = 4 center = (7.5, 6)
B
width = 4 center = (8, 6)
C
width = 19 center = (5, 8.5)
D
width = 7 center = (7.5, 6)
10

Analyze the diagram below and answer the question that follows. Are the triangles congruent by the HL theorem? If so, write the statement of congruence.

Question illustration
A
Yes, .
B
Yes, .
C
No, the hypotenuses are not congruent.
D
No, they are congruent by SAS.
11

Analyze the diagram below and answer the question that follows. Is it possible to show that is congruent to ?

Question illustration
A
Yes; by the segment addition postulate, and by the reflexive property of congruence, so by SAS. Therefore, by CPCTC.
B
Yes; by the angle addition postulate, and by the symmetric property of congruence, so by SAS. Therefore, by CPCTC.
C
No; we cannot prove that , so we cannot use CPCTC to show that .
D
No; , but is not a corresponding angle to , so they cannot be proven congruent by CPCTC.
12

Analyze the diagram below and answer the questions that follow.What is the angle of rotation of this regular decagon? What is the measure of an interior angle?

Question illustration
A
36°, 144°
B
18°, 144°
C
36°, 180°
D
18°, 180°
13

Analyze the diagram below and complete the instructions that follow. If and , find .

Question illustration
A
5
B
15
C
17.5
D
25
14

Which transformation is a reflection? A. B. C. D. none of these Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
15

Analyze the diagram below and complete the instructions that follow. Find if , , and .

Question illustration
A
26°
B
54°
C
102°
D
118°
16

A triangle has vertices of (–3, 2), (1, –1), and (–3, –1). What are the vertices of the image produced by applying the translation ?

Question illustration
A
(–8, 4), (–4, 1), (–8, 1)
B
(–5, 7), (–1, 4), (–5, 4)
C
(2, 0), (6, –3), (2, 0)
D
(2, 4), (6, 1), (2, 1)
17

Analyze the diagram below and complete the instructions that follow. Given that and , find . A. B. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
18

Analyze the diagram below and answer the question that follows.What is the angle of rotation from to ? Assume that the center of rotation is the origin.

Question illustration
A
180° clockwise
B
90° counterclockwise
C
180° counterclockwise
D
270° counterclockwise
19

Quadrilateral has vertices , , and . Determine if quadrilateral is a rectangle.

Question illustration
A
No, quadrilateral is not a rectangle. The opposite sides are not parallel.
B
Yes, quadrilateral is a rectangle because there are four right angles.
C
Yes, quadrilateral is a rectangle because the opposite sides are parallel.
D
There is not enough information to determine.
20

Analyze the diagram below and answer the question that follows.Which figure is the image of figure P after a rotation of 270° clockwise? Assume that the center of rotation is the origin.

Question illustration
A
figure A
B
figure B
C
figure C
D
figure P

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